In a method and a magnetic resonance (MR) system, a marked area is determined that demarcates a predetermined volume segment of the subject relative to the regions adjacent thereto. Nuclei in the predetermined volume segment are excited, or nuclei in a region adjacent thereto are saturated with an RF excitation pulse at the same time a magnetic field gradient is activated. The center frequency of a frequency range of the RF excitation pulse and the direction of the magnetic field gradient are adjusted dependent on resonant frequencies of substances present within the predetermined volume segment in order, starting from the predetermined volume segment to shift an actual excitation volume segment excited by the RF excitation pulse toward the marked area, or to shift a saturation volume saturated by the RF excitation pulse away from the marked area. MR data are then acquired from the predetermined volume segment.